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Finding the Fourth Proportional to 2,832.93, 4,249.27 and 984.46

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Solution

The fourth proportional to 2,832.93, 4,249.27 and 984.46 is: 1,476.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.93 : 4,249.27 = 984.46 : x
  2. Step 2: Convert to fraction form
    2,832.93/4,249.27 = 984.46/x
  3. Step 3: Cross multiply
    2,832.93x = 4,249.27 × 984.46
  4. Step 4: Simplify right side
    2,832.93x = 4,183,236.34
  5. Step 5: Solve for x
    x = 4,183,236.34/2,832.93
  6. Step 6: Final answer
    x = 1,476.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.